A homogenous product is produced by two rival firms. They have the same costs. P = 80 – Q P = 80 – Q1 - Q2 The market demand is: or The firms' total cost equations are: TC1 = 50Q1 TC1 = 50Q1 Both firms choose their output level at the same time. In estimating its marginal revenue, each firm takes its rival's price as given and maximizes profit subject to that assumption. Each firm is thus a price-taker, and behaves like a firm in perfect competition: Marginal revenue equals price under its assumption, so Firm 1 sets price equal to marginal cost. Use this fact to derive Firm 1's reaction equation. а. Q1*(Q?) %3D b. In the Bertrand duopoly equilibrium, each firm charges the same price (the product being homogeneous). Can we solve for the equilibrium output of each firm? c. Find the total combined output, revenue, cost, and profit: TR = TC = П

A homogenous product is produced by two rival firms. They have the same costs. P = 80 – Q P = 80 – Q1 - Q2 The market demand is: or The firms' total cost equations are: TC1 = 50Q1 TC1 = 50Q1 Both firms choose their output level at the same time. In estimating its marginal revenue, each firm takes its rival's price as given and maximizes profit subject to that assumption. Each firm is thus a price-taker, and behaves like a firm in perfect competition: Marginal revenue equals price under its assumption, so Firm 1 sets price equal to marginal cost. Use this fact to derive Firm 1's reaction equation. а. Q1*(Q?) %3D b. In the Bertrand duopoly equilibrium, each firm charges the same price (the product being homogeneous). Can we solve for the equilibrium output of each firm? c. Find the total combined output, revenue, cost, and profit: TR = TC = П

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

ChapterB: Differential Calculus Techniques In Management

Section: Chapter Questions

Problem 1E

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